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131432422240 = 2557281417617
BaseRepresentation
bin111101001100111111…
…0111001101101100000
3110120020202021211112101
41322121332321231200
54123133200002430
6140213524540144
712332006104330
oct1723176715540
9416222254471
10131432422240
11508161a3169
1221580551654
13c517895962
14650b81b0c0
1536439aedca
hex1e99fb9b60

131432422240 has 96 divisors (see below), whose sum is σ = 356131266624. Its totient is φ = 44902072320.

The previous prime is 131432422169. The next prime is 131432422241. The reversal of 131432422240 is 42224234131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131432422199 and 131432422208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131432422241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105912 + ... + 523528.

It is an arithmetic number, because the mean of its divisors is an integer number (3709700694).

Almost surely, 2131432422240 is an apocalyptic number.

131432422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131432422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178065633312).

131432422240 is an abundant number, since it is smaller than the sum of its proper divisors (224698844384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131432422240 is a wasteful number, since it uses less digits than its factorization.

131432422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417920 (or 417912 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 131432422240 its reverse (42224234131), we get a palindrome (173656656371).

The spelling of 131432422240 in words is "one hundred thirty-one billion, four hundred thirty-two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 281 560 562 1120 1124 1405 1967 2248 2810 3934 4496 5620 7868 8992 9835 11240 15736 19670 22480 31472 39340 44960 62944 78680 157360 314720 417617 835234 1670468 2088085 2923319 3340936 4176170 5846638 6681872 8352340 11693276 13363744 14616595 16704680 23386552 29233190 33409360 46773104 58466380 66818720 93546208 116932760 117350377 233865520 234700754 467731040 469401508 586751885 821452639 938803016 1173503770 1642905278 1877606032 2347007540 3285810556 3755212064 4107263195 4694015080 6571621112 8214526390 9388030160 13143242224 16429052780 18776060320 26286484448 32858105560 65716211120 131432422240